Question

Oliver and Peter had the

same length of string. Oliver used 3
4 of
his string to tie a bundle of newspapers.
Peter used 6
8 of his string to tie a bundle
of magazines. Who used more string?
Draw a number line and write a
comparison to show your answer

Answer 1

They both used the same amount. 6/8 when simplified is the same as 3/4.

Answer 2

Oliver and Peter both uses same length string.

Step-by-step explanation:

Suppose length of rope or string = x meters

Oliver divide his rope into four equal parts

`(1)/(4), (1)/(4), (1)/(4), (1)/(4)`

Each part length is
`(1)/(4)`

NOw Oliver used 3 part of the string out of four parts

that means total used string is 3/4

Now peter also have same length of string = x meter

He divides the string eight equal parts and use the 6 parts out of 8

each part length is :
`(x)/(8) , (x)/(8) , (x)/(8) , (x)/(8) , (x)/(8) , (x)/(8) , (x)/(8) , (x)/(8)`

Use 6x/8

simplify the fraction 6x/8

divide by 2 both numerator and denominator

6x/8 = 3x / 4

So both uses same part of string.